Read e-book online Algebra for College Students , Eighth Edition PDF

By Jerome E. Kaufmann, Karen L. Schwitters

ISBN-10: 0495105104

ISBN-13: 9780495105107

Make math a snap with ALGEBRA for students. utilizing daily language and plenty of examples, Kaufman and Schwitters assist you to follow algebra thoughts and ace the try out. This quantity additionally comes with Interactive Skillbuilder CD-ROM. This software is full of over eight hours of video guideline to assist all of it make feel. Plus, you will get the strong web-based iLrn Homework software that makes your assignments a breeze. Get the grade you wish with ALGEBRA for students.

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Example text

7 1 7 1 Ϫ a2 Ϫ 3 b 8 4 8 56. Ϫ4 1 3 3 Ϫ a1 Ϫ 2 b 5 5 10 57. 16 Ϫ 18 ϩ 19 Ϫ [14 Ϫ 22 Ϫ (31 Ϫ 41)] 58. Ϫ19 Ϫ [15 Ϫ 13 Ϫ (Ϫ12 ϩ 8)] 59. [14 Ϫ (16 Ϫ 18)] Ϫ [32 Ϫ (8 Ϫ 9)] 60. [Ϫ17 Ϫ (14 Ϫ 18)] Ϫ [21 Ϫ (Ϫ6 Ϫ 5)] 61. 4 1 1 1 Ϫ a b 12 2 3 26. (Ϫ19) Ϭ 0 27. (Ϫ21) Ϭ 0 28. 0 Ϭ (Ϫ11) 29. Ϫ21 Ϫ 39 30. Ϫ23 Ϫ 38 31. 5 32. 6 33. 29 34. 14 35. 9) 36. 8) 67. (Ϫ6)(Ϫ9) ϩ (Ϫ7)(4) 37. 2) 38. 3) 68. 2 Ϫ6 40. 7 3 1 41. aϪ b ϩ aϪ b 3 4 42. Ϫ 3 3 43. Ϫ Ϫ aϪ b 2 4 5 11 44. Ϫ 8 12 45. Ϫ 2 7 Ϫ 3 9 3 4 47. aϪ b a b 4 5 46.

3(x ϩ 2) ϩ 5(x ϩ 3) 16. 5(x Ϫ 1) ϩ 7(x ϩ 4) Evaluate the algebraic expressions in Problems 35 –57 for the given values of the variables. 17. Ϫ2(a Ϫ 4) Ϫ 3(a ϩ 2) 18. Ϫ7(a ϩ 1) Ϫ 9(a ϩ 4) 35. 3x ϩ 7y, x ϭ Ϫ1 and y ϭ Ϫ2 19. 3(n ϩ 1) Ϫ 8(n Ϫ 1) 20. 4(n ϩ 3) ϩ (n Ϫ 7) 36. 5x Ϫ 9y, 2 2 2 2 x ϭ Ϫ2 and y ϭ 5 38 Chapter 1 Basic Concepts and Properties 37. 4x 2 Ϫ y2, x ϭ 2 and y ϭ Ϫ2 38. 3a ϩ 2b , a ϭ 2 and b ϭ 5 For Problems 64 –78, translate each English phrase into an algebraic expression and use n to represent the unknown number.

In the following examples, we used this same type of reasoning to determine some quotients that involve integers. 6 ϭ Ϫ3 Ϫ2 because (Ϫ2)(Ϫ3) ϭ 6 Ϫ12 ϭ Ϫ4 because (3)(Ϫ4) ϭ Ϫ12 3 Ϫ18 ϭ9 Ϫ2 because (Ϫ2)(9) ϭ Ϫ18 0 ϭ 0 because (Ϫ5)(0) ϭ 0 Ϫ5 Ϫ8 is undefined 0 Remember that division by zero is undefined! A precise description for division of real numbers follows. Division of Real Numbers 1. The quotient of two positive or two negative real numbers is the quotient of their absolute values. 2. The quotient of a positive real number and a negative real number or of a negative real number and a positive real number is the opposite of the quotient of their absolute values.

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Algebra for College Students , Eighth Edition by Jerome E. Kaufmann, Karen L. Schwitters


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